Question

triangle ijk is formed by connecting the midpoints of the side of triangle fgh. the lengths of the sides of triangle ijk are shown. what is the length of fh? figure is not necessarily drawn to scale.

Explanation:

Step1: Recall the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length.

Step2: Identify the mid - segment and the corresponding side

In triangle \(FGH\), segment \(IJ\) is a mid - segment. Since \(IJ = 6\), and by the mid - segment theorem, if \(IJ\) is parallel to \(FH\), then \(FH=2\times IJ\)

Answer:

\(12\)